$($a$)$ Use numpy's np$.$random.randn function to randomly generate an $88$ matrix $M.$

$($b$)$ Use numpy to randomly generate a vector $v$ of dimension $8.$

$($c$)$ Write code that uses numpy to multiply the above matrix $M$ by the above vector $v.$

$($d$)$ Write code that computes the sum of the squares of the components of $v.$ Can you do it in one line?

$($e$)$ Write numpy code that randomly generates a vector $w$ of dimension $8$ and then compute sthe dot product of $v$ and $w.$ Use numpy's $np.$ vdot function to compute the dot product.